846,757

846757

Starting at 846,757, the Collatz iteration reaches 1 after 82 steps. The first transition is 2540272; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 846757

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 846,758

Proper Divisor Sum 1

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #846751 ← → #846779

Radix Representation

Decimal	846757
Binary	11001110101110100101 (20 bits)
Octal	0o3165645
Hexadecimal	0xCEBA5

Divisor Catalog (2)

1 846,757

Collatz Trajectory (82 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

846,757 2,540,272 1,270,136 635,068 317,534 158,767 476,302 238,151 714,454 357,227 1,071,682 535,841 1,607,524 803,762 401,881 1,205,644 602,822 301,411 904,234 452,117 1,356,352 678,176 339,088 169,544 84,772 42,386 21,193 63,580 31,790 15,895 47,686 23,843 71,530 35,765 107,296 53,648 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896

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